3. Mari is practicing her free-throw basketball shots. She usually makes 80% of her shots. She will try six times. Here is the graph and table for her binomial situation. 0.4- r P(r) 0 0.000 0.3- 1 0.002 P(r) 2 0.015 3 0.082 0.2- 4 0.246 5 0.393 0.1- 6 0.262 0 6 a) What is Mari's expected number p of successful shots? Show your computations. What is the standard deviation o for Mari's situation? Show your computations. b) Looking at the histogram, does this expected number p of successful shots and the standard deviation o make sense? Interpret both numbers in the context of this basketball situation. c) What is the probability that Mari will make at least 4 shots? Use the table from above, and show your computations. d) Suppose Mari has more time, and would like to successfully make at least 40 shots. How many shots does she need to try so that the expected number of successful shots is at least 40? Show your computations